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Finding the Fourth Proportional to 280,688.52, 421,129.98 and 175,382.04

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Solution

The fourth proportional to 280,688.52, 421,129.98 and 175,382.04 is: 263,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,688.52 : 421,129.98 = 175,382.04 : x
  2. Step 2: Convert to fraction form
    280,688.52/421,129.98 = 175,382.04/x
  3. Step 3: Cross multiply
    280,688.52x = 421,129.98 × 175,382.04
  4. Step 4: Simplify right side
    280,688.52x = 73,858,634,997.56
  5. Step 5: Solve for x
    x = 73,858,634,997.56/280,688.52
  6. Step 6: Final answer
    x = 263,133.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.